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Finding the Fourth Proportional to 2,167.79, 2,990.79 and 1,223.46

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Solution

The fourth proportional to 2,167.79, 2,990.79 and 1,223.46 is: 1,687.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.79 : 2,990.79 = 1,223.46 : x
  2. Step 2: Convert to fraction form
    2,167.79/2,990.79 = 1,223.46/x
  3. Step 3: Cross multiply
    2,167.79x = 2,990.79 × 1,223.46
  4. Step 4: Simplify right side
    2,167.79x = 3,659,111.93
  5. Step 5: Solve for x
    x = 3,659,111.93/2,167.79
  6. Step 6: Final answer
    x = 1,687.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.